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1. Suppose population size N = 10,000 The College Board reported the following mean scores for the three parts of the Scholas- tic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading Mathematics 502 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Read- ing part of the test? b. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b).

1. Suppose population size N = 10,000 The College Board reported the following mean scores for the three parts of the Scholas- tic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading Mathematics 502 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Read- ing part of the test? b. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. Suppose population size N = 10,000 The College Board reported the following mean scores for the three parts of the Scholas- tic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading 502 515 Mathematics Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Read- ing part of the test? b. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b).
Transcribed Image Text:1. Suppose population size N = 10,000 The College Board reported the following mean scores for the three parts of the Scholas- tic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading 502 515 Mathematics Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Read- ing part of the test? b. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b).
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